6. 2x-y=-6 x+y=-3 4x-2y = -2 2x-y = 3

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Exercise 6:**

Solve the following systems of linear equations:

**System A:**

1. \( 2x - y = 6 \)
2. \( x + y = -3 \)

**System B:**

1. \( 4x - 2y = -2 \)
2. \( 2x - y = 3 \)

**Instructions:**

- Use any method of your choice (substitution, elimination, or graphical method) to find the values of \( x \) and \( y \) that satisfy the equations in each system.
- Verify your solutions by substituting the values back into the original equations.
- Discuss the nature of the solutions (unique, infinitely many, or none) and explain why the solutions are categorized as such.

There are no graphs or diagrams provided in the image.
Transcribed Image Text:**Exercise 6:** Solve the following systems of linear equations: **System A:** 1. \( 2x - y = 6 \) 2. \( x + y = -3 \) **System B:** 1. \( 4x - 2y = -2 \) 2. \( 2x - y = 3 \) **Instructions:** - Use any method of your choice (substitution, elimination, or graphical method) to find the values of \( x \) and \( y \) that satisfy the equations in each system. - Verify your solutions by substituting the values back into the original equations. - Discuss the nature of the solutions (unique, infinitely many, or none) and explain why the solutions are categorized as such. There are no graphs or diagrams provided in the image.
I'm sorry, the text in the image is not clear enough to read, so I'm unable to transcribe it. If possible, please provide a clearer image or describe the content, and I'll be happy to assist you further.
Transcribed Image Text:I'm sorry, the text in the image is not clear enough to read, so I'm unable to transcribe it. If possible, please provide a clearer image or describe the content, and I'll be happy to assist you further.
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